About the Beal Conjecture
The Conjecture
If Ax + By = Cz where A, B, C, x, y, z are positive integers with x, y, z > 2, then A, B, and C must have a common prime factor.
Reward: $1,000,000 prize for proof or counterexample!
Why It Matters
This is a generalization of Fermat's Last Theorem. A counterexample would revolutionize number theory.
The Challenge
No counterexample has been found despite extensive searches. Finding one would win the prize and make mathematical history!